Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

Journal Article · Thu Dec 15 04:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.84.235103· OSTI ID:21596940

Gonzalez-Santander, C; Dominguez-Adame, F ^[1]; Roemer, R A ^[2]

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1. Departamento de Fisica de Materiales, Universidad Complutense de Madrid, ES-28040 (Spain)
2. Department of Physics and Centre for Scientific Computing, University of Warwick, Coventry, CV4 7AL (United Kingdom)

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly two-dimensional with finite radius-to-width ratio. We present an analytic solution of the problem when the electron-hole interaction is short ranged. The oscillatory dependence of the oscillator strength as a function of the magnetic flux is attributed to the Aharonov-Bohm effect. The amplitude of the oscillations changes upon increasing the width of the quantum ring. We find that the Aharonov-Bohm oscillations of the ground state of the exciton decrease with increasing the width, but, remarkably, the amplitude remains finite down to radius-to-width ratios less than unity. We attribute this resilience of the excitonic oscillations to the nonsimple connectedness of our chosen confinement potential with its centrifugal core at the origin.

• OSTI ID: 21596940
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 23 Vol. 84; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AHARONOV-BOHM EFFECT
AMPLITUDES
ANALYTICAL SOLUTION
ENERGY LEVELS
GROUND STATES
INTERACTIONS
MAGNETIC FLUX
MATHEMATICAL SOLUTIONS
OPTICAL PROPERTIES
OSCILLATIONS
OSCILLATOR STRENGTHS
PHYSICAL PROPERTIES
RINGS
SIMULATION
TWO-DIMENSIONAL CALCULATIONS